On the ME-manifold in \(n\)-\(^*g\)-UFT and its conformal change (Q1321853)

The authors introduce the new concept of \(n\)-dimensional \(^*g \text{- ME}\)-manifold (abbrev.: \(^*g\text{-ME }X_ n\)) assigning a special Einstein's connection (called ``ME-connection'') on a generalized Riemannian manifold \(X_ n\). A necessary and sufficient condition for the uniqueness of an ME-connection as well as a surveyable tensorial representation of this are given. In the last section the conformal change of \(^*g\text{-ME }X_ n\) is studied.